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Solutions of multiple vector refinement equations with infinite mask
| Content Provider | Semantic Scholar |
|---|---|
| Author | Liu, Zhi-Song |
| Copyright Year | 2009 |
| Abstract | AbstractThis paper is devoted to investigating the solutions of refinement equations of the form $$ \varphi (x) = \sum\limits_{\alpha \in Z^s } {a(a)\varphi (Mx - \alpha ),x \in R^s ,} $$ where the vector of functions ϕ = (ϕ1, ..., ϕr)T is in (L1(Rs))r, $$ a = (a(\alpha ))_{\alpha \in Z^s } $$ is an infinitely supported sequence of r× r matrices called the refinement mask, and M is an s× s integer matrix such that $$ \mathop {\lim }\limits_{n \to \infty } $$M−n = 0, with m = detM. Some properties about the solutions of refinement equations are obtained. |
| Starting Page | 209 |
| Ending Page | 213 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11766-009-1924-7 |
| Volume Number | 24 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s11766-009-1924-7 |
| Alternate Webpage(s) | https://doi.org/10.1007/s11766-009-1924-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
